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A particle P is attached to two fixed points `O_(1)` and `O_(2)` in a horizontal line, by means of two ight inextensible strings of equal length l. It is projected with a velocity just sufficient to make it describe a circle, in a vertical plane, without the strings getting slack and with the angle`lt O_(2)O_(1)P = lt O_(1)O_(2)P = theta`. When the particle is at its lowest point, the string `O_(2)P` breaks and the subsequent path of the particle was found to be a circle of radius l `"cos" theta`. Find `theta`. |
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Answer» Correct Answer - `theta = tan^(-1) ((1)/(sqrt5))` |
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